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Motivated by a problem arising from pharmaceutical science [B. Baeumer et al., Discr. Contin. Dyn. Sys. B 12], we study random walks on the contact graph of a bidisperse random sphere packing. For a random walk on the unweighted graph that…

Soft Condensed Matter · Physics 2011-03-08 Peter Hinow

In this paper a review is presented of the research on eye gaze estimation techniques and applications, that has progressed in diverse ways over the past two decades. Several generic eye gaze use-cases are identified: desktop, TV,…

Human-Computer Interaction · Computer Science 2017-08-08 Anuradha Kar , Peter Corcoran

In many applications, it is often of practical and scientific interest to detect anomaly events in a streaming sequence of high-dimensional or non-Euclidean observations. We study a non-parametric framework that utilizes nearest neighbor…

Methodology · Statistics 2022-10-25 Lynna Chu , Hao Chen

We show the equivalence of several characterizations of relative hyperbolicity for metric spaces, and obtain extra information about geodesics in a relatively hyperbolic space. We apply this to characterize hyperbolically embedded subgroups…

Group Theory · Mathematics 2012-10-31 Alessandro Sisto

We present an autoencoder-based semi-supervised approach to classify perceived human emotions from walking styles obtained from videos or motion-captured data and represented as sequences of 3D poses. Given the motion on each joint in the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Uttaran Bhattacharya , Christian Roncal , Trisha Mittal , Rohan Chandra , Kyra Kapsaskis , Kurt Gray , Aniket Bera , Dinesh Manocha

Eye movements during fixation of a stationary target prevent the adaptation of the photoreceptors to continuous illumination and inhibit fading of the image. These random, involuntary, small, movements are restricted at long time scales so…

Statistical Mechanics · Physics 2009-11-10 Jin-Rong Liang , Shay Moshel , Ari Z. Zivotofsky , Avi Caspi , Ralf Engbert , Reinhold Kliegl , Shlomo Havlin

Computer vision tasks such as image classification, image retrieval and few-shot learning are currently dominated by Euclidean and spherical embeddings, so that the final decisions about class belongings or the degree of similarity are made…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Valentin Khrulkov , Leyla Mirvakhabova , Evgeniya Ustinova , Ivan Oseledets , Victor Lempitsky

The connection between several hyperbolic type metrics is studied in subdomains of the Euclidean space. In particular, a new metric is introduced and compared to the distance ratio metric.

Metric Geometry · Mathematics 2018-01-29 Oleksiy Dovgoshey , Parisa Hariri , Matti Vuorinen

Purpose. We present a new method to evaluate the accuracy of an eye tracker based eye localization system. Measuring the accuracy of an eye tracker's primary intention, the estimated point of gaze, is usually done with volunteers and a set…

Human-Computer Interaction · Computer Science 2017-05-23 Stephan Wyder , Philippe C. Cattin

To address this gap, we conduct a Virtual Reality experiment in which pedestrians interact with automated shuttles under varying approach angles (45{\deg}, 90{\deg}, 135{\deg}) and continuous-traffic conditions (single shuttle, two shuttles…

Machine Learning · Computer Science 2026-05-25 Danya Li , Yan Feng , Rico Krueger

We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. Graph methods…

Physics and Society · Physics 2020-06-09 Sinan G. Aksoy , Cliff Joslyn , Carlos Ortiz Marrero , Brenda Praggastis , Emilie Purvine

Eye movements play a vital role in perceiving the world. Eye gaze can give a direct indication of the users point of attention, which can be useful in improving human-computer interaction. Gaze estimation in a non-intrusive manner can make…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Anjith George

The comparison between dynamical mass and lensing mass provides a targeted test for a wide range of modified gravity models. In our previous paper we showed, through numerical simulations, that the measurement of the line-of-sight velocity…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-05 Tsz Yan Lam , Fabian Schmidt , Takahiro Nishimichi , Masahiro Takada

Objective: To systematically quantify the effect of the camera view (frontal vs. lateral) on the accuracy of 2D markerless gait analysis relative to 3D motion capture ground truth. Methods: Gait data from 18 subjects were recorded…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Dong Chen , Huili Peng , Yong Hu , Kenneth MC. Cheung

Rationale and Objectives: Computer-aided detection systems for chest radiographs are widely used, and concurrent reader displays, such as bounding-box (BB) highlights, may influence the reading process. This pilot study used eye tracking to…

Image and Video Processing · Electrical Eng. & Systems 2025-10-27 Daisuke Matsumoto , Tomohiro Kikuchi , Yusuke Takagi , Soichiro Kojima , Ryoma Kobayashi , Daiju Ueda , Kohei Yamamoto , Sho Kawabe , Harushi Mori

Model-based eye tracking has been a dominant approach for eye gaze tracking because of its ability to generalize to different subjects, without the need of any training data and eye gaze annotations. Model-based eye tracking, however, is…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Qiang Ji , Kang Wang

We investigated gaze direction during movement observation. The eye movement data were collected during an experiment, in which different models of movement production (based on movement primitives, MPs) were compared in a two alternatives…

Human-Computer Interaction · Computer Science 2025-03-25 Benjamin Knopp , Daniel Auras , Alexander C. Schütz , Dominik Endres

The use of eye-tracking techniques is becoming rapidly extended because of its relevance for acquiring information about cognition and behavior. Recent studies indicate that a correct characterization of the motion of the pupil inside the…

Biological Physics · Physics 2018-05-02 Sebastián Bouzat , María Luján Freije , Ana Laura Frapiccini , Gustavo Gasaneo

The random walk with hyperbolic probabilities that we are introducing is an example of stochastic diffusion in a one-dimensional heterogeneous media. Although driven by site-dependent one-step transition probabilities, the process retains…

Statistical Mechanics · Physics 2021-06-03 Miquel Montero

Animals often forage via Levy walks stochastic trajectories with heavy tailed step lengths optimized for sparse resource environments. We show that human visual gaze follows similar dynamics when scanning images. While traditional models…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Tejaswi V. Panchagnula